2075096912240 has 320 divisors, whose sum is σ = 5786886758400. Its totient is φ = 683099366400.

The previous prime is 2075096912219. The next prime is 2075096912249. The reversal of 2075096912240 is 422196905702.

It is a happy number.

It is a super-3 number, since 3×2075096912240³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075096912249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507232595 + ... + 507236685.

It is an arithmetic number, because the mean of its divisors is an integer number (18084021120).

Almost surely, 2^{2075096912240} is an apocalyptic number.

2075096912240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075096912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893443379200).

2075096912240 is an abundant number, since it is smaller than the sum of its proper divisors (3711789846160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2075096912240 is a wasteful number, since it uses less digits than its factorization.

2075096912240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 2075096912240 in words is "two trillion, seventy-five billion, ninety-six million, nine hundred twelve thousand, two hundred forty".